122333103210000 has 400 divisors, whose sum is σ = 398892184891200. Its totient is φ = 32293454592000.

The previous prime is 122333103209983. The next prime is 122333103210007. The reversal of 122333103210000 is 12301333221.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (122333103210007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4587076666 + ... + 4587103334.

It is an arithmetic number, because the mean of its divisors is an integer number (997230462228).

Almost surely, 2^{122333103210000} is an apocalyptic number.

122333103210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122333103210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199446092445600).

122333103210000 is an abundant number, since it is smaller than the sum of its proper divisors (276559081681200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122333103210000 is a wasteful number, since it uses less digits than its factorization.

122333103210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28236 (or 28215 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122333103210000 its reverse (12301333221), we get a palindrome (122345404543221).

The spelling of 122333103210000 in words is "one hundred twenty-two trillion, three hundred thirty-three billion, one hundred three million, two hundred ten thousand".